53279 ÷ 96 
Our goal is to divide 53279 by 96.

Step 1:
96 can be fit into 5 0 times, resulting in a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Take the next digit (3) from the dividend and append it to 5, then repeat: 53 / 96

Let's proceed to step 2:
96 can be fit into 53 0 times, resulting in a remainder of 53.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 53 and we're left with 53.
Take the next digit (2) from the dividend and append it to 53, then repeat: 532 / 96

Let's proceed to step 3:
532 divided by 96 is 5 with a remainder of 52.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Subtracting 480 from 532 leaves us with 52.
Append the next digit (7) from the dividend to 52 and continue with: 527 / 96

On to step 4:
96 goes into 527 5 times with a remainder of 47.
Put 5 as the next digit of the answer. 
Result so far: 55.0
The remainder is 47 after subtracting 480 from 527.
Include the next digit (9) from the dividend after 47, then repeat: 479 / 96

Going ahead to step 5:
The number 96 fits into 479 4 times, leaving a remainder of 95.
The number 4 becomes the next digit in our result. 
Result so far: 554.0
Deduct 384 from 479 and we're left with 95.
Since there are no more digits in the dividend, we add a zero to the remainder making it 950, and continue the process.

Moving on to step 6:
96 can be fit into 950 9 times, resulting in a remainder of 86.
The next digit of our result is 9. 
Result so far: 554.9
The remainder is 86 after subtracting 864 from 950.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

Let's proceed to step 7:
If we divide 860 by 96, we get 8 and a remainder of 92.
Record the quotient 8 as the next digit in the result. 
Result so far: 554.98
Subtract 768 from 860 to get 92.
Since there are no more digits in the dividend, we add a zero to the remainder making it 920, and continue the process.

Moving on to step 8:
The number 96 fits into 920 9 times, leaving a remainder of 56.
Use 9 as the next digit of our solution. 
Result so far: 554.989
Subtract 864 from 920 to get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Let's proceed to step 9:
When dividing 560 by 96, we get 5 with a remainder of 80.
Put 5 as the next digit of the answer. 
Result so far: 554.9895
Deduct 480 from 560 and we're left with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Moving on to step 10:
96 goes into 800 8 times with a remainder of 32.
Record the quotient 8 as the next digit in the result. 
Result so far: 554.98958
Subtract 768 from 800 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 11:
96 goes into 320 3 times with a remainder of 32.
Use 3 as the next digit of our solution. 
Result so far: 554.989583
If we subtract 288 from 320, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 12:
96 goes into 320 3 times with a remainder of 32.
The number 3 becomes the next digit in our result. 
Result so far: 554.9895833
Subtract 288 from 320 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Our division results in 554.9895833 with a remaining 3.2e-07.